Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 528, 575, 800, 248 i.e. 1 largest integer that divides all the numbers equally.
GCD of 528, 575, 800, 248 is 1
GCD(528, 575, 800, 248) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 528, 575, 800, 248 is 1
GCD(528, 575, 800, 248) = 1
Given Input numbers are 528, 575, 800, 248
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 528
List of positive integer divisors of 528 that divides 528 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Divisors of 575
List of positive integer divisors of 575 that divides 575 without a remainder.
1, 5, 23, 25, 115, 575
Divisors of 800
List of positive integer divisors of 800 that divides 800 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 248
List of positive integer divisors of 248 that divides 248 without a remainder.
1, 2, 4, 8, 31, 62, 124, 248
Greatest Common Divisior
We found the divisors of 528, 575, 800, 248 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 575, 800, 248 is 1.
Therefore, GCD of numbers 528, 575, 800, 248 is 1
Given Input Data is 528, 575, 800, 248
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11
Prime Factorization of 575 is 5 x 5 x 23
Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 248 is 2 x 2 x 2 x 31
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(528, 575) = 303600
GCD(528, 575) = ( 528 x 575 ) / 303600
GCD(528, 575) = 303600 / 303600
GCD(528, 575) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 800
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 800) = 800
GCD(1, 800) = ( 1 x 800 ) / 800
GCD(1, 800) = 800 / 800
GCD(1, 800) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 248
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 248) = 248
GCD(1, 248) = ( 1 x 248 ) / 248
GCD(1, 248) = 248 / 248
GCD(1, 248) = 1
GCD of 528, 575, 800, 248 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 528, 575, 800, 248?
GCD of 528, 575, 800, 248 is 1
2. Where do I get the detailed procedure to find GCD of 528, 575, 800, 248?
You can find a detailed procedure to find GCD of 528, 575, 800, 248 on our page.
3. How to find GCD of 528, 575, 800, 248 on a calculator?
You can find the GCD of 528, 575, 800, 248 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.